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Simplifying 0.5x + 2 = 0.33x + -4 Reorder the terms: 2 + 0.5x = 0.33x + -4 Reorder the terms: 2 + 0.5x = -4 + 0.33x Solving 2 + 0.5x = -4 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. 2 + 0.5x + -0.33x = -4 + 0.33x + -0.33x Combine like terms: 0.5x + -0.33x = 0.17x 2 + 0.17x = -4 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 2 + 0.17x = -4 + 0.00 2 + 0.17x = -4 Add '-2' to each side of the equation. 2 + -2 + 0.17x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 0.17x = -4 + -2 0.17x = -4 + -2 Combine like terms: -4 + -2 = -6 0.17x = -6 Divide each side by '0.17'. x = -35.29411765 Simplifying x = -35.29411765
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